{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2ec34b83",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from numpy import genfromtxt\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "76ae1ba9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[100.    4.    9.3]\n",
      " [ 50.    3.    4.8]\n",
      " [100.    4.    8.9]\n",
      " [100.    2.    6.5]\n",
      " [ 50.    2.    4.2]\n",
      " [ 80.    2.    6.2]\n",
      " [ 75.    3.    7.4]\n",
      " [ 65.    4.    6. ]\n",
      " [ 90.    3.    7.6]\n",
      " [ 90.    2.    6.1]]\n"
     ]
    }
   ],
   "source": [
    "# 读入数据\n",
    "data = genfromtxt(r\"Delivery.csv\",delimiter=',')\n",
    "print(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "77b10f6d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[100.   4.]\n",
      " [ 50.   3.]\n",
      " [100.   4.]\n",
      " [100.   2.]\n",
      " [ 50.   2.]\n",
      " [ 80.   2.]\n",
      " [ 75.   3.]\n",
      " [ 65.   4.]\n",
      " [ 90.   3.]\n",
      " [ 90.   2.]]\n",
      "[9.3 4.8 8.9 6.5 4.2 6.2 7.4 6.  7.6 6.1]\n"
     ]
    }
   ],
   "source": [
    "# 切分数据\n",
    "x_data = data[:,:-1]\n",
    "y_data = data[:,-1]\n",
    "print(x_data)\n",
    "print(y_data)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "96229fd9",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2dc04cf2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 学习率learning rate\n",
    "lr = 0.0001\n",
    "# 参数\n",
    "theta0 = 0\n",
    "theta1 = 0\n",
    "theta2 = 0\n",
    "# 最大迭代次数\n",
    "epochs = 1000\n",
    "\n",
    "# 最小二乘法\n",
    "def computer_error(theta0,theta1,theta2,x_data,y_data):\n",
    "    totalError = 0\n",
    "    for i in range(0,len(x_data)):\n",
    "        totalError += ((theta0+theta1*x_data[i,0]+theta2*x_data[i,1])-y_data[i])**2\n",
    "    return totalError / float(len(x_data)) / 2"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "e65c922d",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "bd09e425",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient_descent_runner(x_data,y_data,theta0,theta1,theta2,lr,epochs):\n",
    "#     计算总数据量\n",
    "    m = float(len(x_data))\n",
    "#     循环epochs次\n",
    "    for i in range(epochs):\n",
    "        theta0_grad = 0\n",
    "        theta1_grad = 0\n",
    "        theta2_grad = 0\n",
    "#         计算梯度的总和再求平均\n",
    "        for j in range(0,len(x_data)):\n",
    "            theta0_grad += (1/m)*((theta0+theta1*x_data[j,0]+theta2*x_data[j,1])-y_data[j])\n",
    "            theta1_grad += (1/m)*x_data[j,0]*((theta0+theta1*x_data[j,0]+theta2*x_data[j,1])-y_data[j])\n",
    "            theta2_grad += (1/m)*x_data[j,1]*((theta0+theta1*x_data[j,0]+theta2*x_data[j,1])-y_data[j])\n",
    "        theta0 = theta0 - (lr*theta0_grad)\n",
    "        theta1 = theta1 - (lr*theta1_grad)\n",
    "        theta2 = theta2 - (lr*theta2_grad)\n",
    "    return theta0,theta1,theta2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ed903931",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting theta0 = 0, theta1 = 0, theta2 = 0, error = 23.639999999999997\n",
      "Running...\n",
      "After 1000 iterations theta0 = 0.006971416196678631, theta1 = 0.08021042690771771, theta2 = 0.07611036240566814, error = 0.3865635716109059\n"
     ]
    }
   ],
   "source": [
    "print(f\"Starting theta0 = {theta0}, theta1 = {theta1}, theta2 = {theta2}, error = {computer_error(theta0,theta1,theta2,x_data,y_data)}\")\n",
    "print(\"Running...\")\n",
    "theta0,theta1,theta2 = gradient_descent_runner(x_data,y_data,theta0,theta1,theta2,lr,epochs)\n",
    "print(f\"After {epochs} iterations theta0 = {theta0}, theta1 = {theta1}, theta2 = {theta2}, error = {computer_error(theta0,theta1,theta2,x_data,y_data)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "fb2e70bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.figure().add_subplot(111,projection = '3d')\n",
    "ax.scatter(x_data[:,0],x_data[:,1],y_data,c = 'r',marker = 'o',s = 100)\n",
    "x0 = x_data[:,0]\n",
    "x1 = x_data[:,1]\n",
    "# 生成网格矩阵\n",
    "x0,x1 = np.meshgrid(x0,x1)\n",
    "z = theta0 + x0*theta1 + x1*theta2\n",
    "# 画3D图\n",
    "ax.plot_surface(x0,x1,z)\n",
    "# 设置坐标轴\n",
    "ax.set_xlabel('Miles')\n",
    "ax.set_ylabel('Num of Deliveries')\n",
    "ax.set_zlabel('Time')\n",
    "# 显示图像\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
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